71993216 has 32 divisors (see below), whose sum is σ = 145870200. Its totient is φ = 35382784.

The previous prime is 71993213. The next prime is 71993227. The reversal of 71993216 is 61239917.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 71993216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71993213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2786 + ... + 12318.

Almost surely, 2^71993216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72935100).

71993216 is an abundant number, since it is smaller than the sum of its proper divisors (73876984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71993216 is an equidigital number, since it uses as much as digits as its factorization.

71993216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606 (or 9594 counting only the distinct ones).

The product of its digits is 20412, while the sum is 38.

The square root of 71993216 is about 8484.8816137881. The cubic root of 71993216 is about 416.0036981920.

The spelling of 71993216 in words is "seventy-one million, nine hundred ninety-three thousand, two hundred sixteen".